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Finding the Fourth Proportional to 2,202.72, 3,304.80 and 2,083.20

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Solution

The fourth proportional to 2,202.72, 3,304.80 and 2,083.20 is: 3,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.72 : 3,304.80 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    2,202.72/3,304.80 = 2,083.20/x
  3. Step 3: Cross multiply
    2,202.72x = 3,304.80 × 2,083.20
  4. Step 4: Simplify right side
    2,202.72x = 6,884,559.36
  5. Step 5: Solve for x
    x = 6,884,559.36/2,202.72
  6. Step 6: Final answer
    x = 3,125.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.